%0 Journal Article
%T Explicit n-descent on elliptic curves, I. Algebra
%A John Cremona
%A Tom Fisher
%A Cathy O'Neil
%A Denis Simon
%A Michael Stoll
%J Mathematics
%D 2006
%I arXiv
%R 10.1515/CRELLE.2008.012
%X This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n. The methods we describe are practical in the case n=3 for elliptic curves over the rationals, and have been implemented in Magma.
%U http://arxiv.org/abs/math/0606580v1